We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Limit distributions for the number of particles in branching random walks.
- Authors
Bulinskaya, E.
- Abstract
We study branching random walks with continuous time. Particles performing a random walk on ℤ, are allowed to be born and die only at the origin. It is assumed that the offspring reproduction law at the branching source is critical and the random walk outside the source is homogeneous and symmetric. Given particles at the origin, we prove a conditional limit theorem for the joint distribution of suitably normalized numbers of particles at the source and outside it as time unboundedly increases. As a consequence, we establish the asymptotic independence of such random variables.
- Subjects
RANDOM walks; DISTRIBUTION (Probability theory); NORMAL numbers; ASYMPTOTES; RANDOM variables; MATRICES (Mathematics)
- Publication
Mathematical Notes, 2011, Vol 90, Issue 5/6, p824
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434611110228